Official Quant thread for CAT 2013

There are two containers each having balls of two colours, green and red. The ratio of the green balls to the red balls in the first container is 2 : 3 and in the second container it is 2 : 1. N balls are randomly picked from the first container and transferred to the second container. The ratio of green balls to the red balls in the second container now becomes 1 : 1. However, the ratio of balls in the first container remains 2 : 3. If the number of balls in the first container is 25, then the value of N for which the final number of balls in the second container becomes 24 is


plz share the approach guys.....:)
  • 25
  • 15
  • 10
  • 5
  • 20

0 voters

The angle of elevation of the top of tower in a regular octagonal ground from each of the eight vertices is 60°. If the side of the regular octagonal ground measures 'h' mts, find the height of the tower.



how to go abt this........!!
  • 2.8h
  • 2.2h
  • 1.2h
  • 1.8h

0 voters

Help Me with this one

A palindrome is a number which reads the same forward and backward (Eg : 13131) . How many six digit palindromic numbers can be formed ?

The sum of the infinite series 1/3 + 2/21 + 3/91 + 4/273 + ...

(6^83 + 8^83)/49

Remain ?

Does anyone know the method to solve questions like :
'Find the remainder when 123123123123... 300 digits is divided by 37 ?'
Please Help.!

The work done by 4 men in 12 days is equal to the work done by 6 women in 10 days and is also equal to the work done by 8 children in 9 days. A man, a woman and a child working together take 10 days to complete a particular job. In how many days will the same job be completed by 2 women and 5 children working together?

A thief escaped from police custody. He could run at 40km/hr.Police realized it after 3hr & startd chasing him at 50km/hr.police had a dog which could run at 60km/hr.dog would run 2 the thief & thn return 2 police and run bck to police til police catch thief.Wat is d distance dog travelled "in the direction of thief"?

Ram and Shyam normally work for 8 hours but do extra four hours on overtime. A job was done by 2 men together in 12 days in which Ram and Shyam did overtime for few days (not necessarily same number of days). It is calculated that had Ram not done her overtime, then the work would have taken 15 days to complete and corresponding value for Shyam is 20 days. How many days it would have taken for the work to complete had both men not done overtime?

If a no has 20 factors, then it can have a maximum of :

1> 4 distinct prime factors

2> 2 distinct prime factors

3> 3 distinct prime factors

4> 5 distinct prime factors

Geometry PDF by TotalGadha 😃

4a+2b=1600

what values of a and b maximise the equation

1200a+1000b ?

a)a=200 and b=600.
b)b=800.
c)none

Apples=A, bananas =B, mangoes=M
Given : 2A + 8B +4M=200
3A+12B+11M=330
Then , 12A +48B+40M=???

Folks,

Any pointers on caselets on the Games and tournaments..
They are taking hell lot of time in Mocks..

Thanks in advance...

explain..

Q4)N = (3 x 5 x 7 x………..x 99) / (2 x 4 x 6 x ………x 100)then which of the following regarding the value of N is true?

1) 1/3

2) 1/5

3) 1/15

4) 1/10

Krishna has 5 roses (similar), 4 Lilies(similar) and 5 different types of flower. In how many different ways he can give minimum one flower to Radha

. Q5)What is the remainder when 100! is divided by 97^2 ??

How many ways we can select more than 2 letters from word INDEPENDENCE

Find the unit's digit of

1^x+2^x+3^x+....99^x
where x= 5^5